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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals
N. Temirgaliyev, S. S. Kudaibergenov, N. Zh. Nauryzbaev L.N. Gumilyov Eurasian National University,
13 Kazhimukan str., Nur-Sultan, 010008 Republic of Kazakhstan
Abstract:
The paper is devoted to approximate calculation of integrals of products of two functions by the method of tensor products of functionals. Under the assumption that one of them is from the Sobolev class with the dominant mixed derivative, and the other with fast oscillation, there are obtained unimprovable (in the sense of order) estimates of arising errors of approximation. Also, a comparative analysis with known methods in the "theory of oscillations" be conducted.
Keywords:
tensor product of functionals, Haar function, highly oscillatory integral, asymptotic method, Filon method, Levin collocation method.
Received: 17.06.2019 Revised: 17.06.2019 Accepted: 19.06.2019
Citation:
N. Temirgaliyev, S. S. Kudaibergenov, N. Zh. Nauryzbaev, “Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 94–99; Russian Math. (Iz. VUZ), 63:11 (2019), 83–87
Linking options:
https://www.mathnet.ru/eng/ivm9521 https://www.mathnet.ru/eng/ivm/y2019/i11/p94
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Abstract page: | 315 | Full-text PDF : | 134 | References: | 18 | First page: | 3 |
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